86836729351680 has 3840 divisors, whose sum is σ = 407430768476160. Its totient is φ = 16543147622400.

The previous prime is 86836729351679. The next prime is 86836729351709. The reversal of 86836729351680 is 8615392763868.

It is a happy number.

86836729351680 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 6 + 7 + 29 + 3 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86836729351599 and 86836729351608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 229120657731 + ... + 229120658109.

It is an arithmetic number, because the mean of its divisors is an integer number (106101762624).

Almost surely, 2^{86836729351680} is an apocalyptic number.

86836729351680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86836729351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203715384238080).

86836729351680 is an abundant number, since it is smaller than the sum of its proper divisors (320594039124480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86836729351680 is a wasteful number, since it uses less digits than its factorization.

86836729351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 86836729351680 in words is "eighty-six trillion, eight hundred thirty-six billion, seven hundred twenty-nine million, three hundred fifty-one thousand, six hundred eighty".